At my UU Church, they often talk about the equality of marriage (rights for same-sex couples), the importance of social programs to help the needy (welfare, medicaid, UHC, etc), making immigration easier, and the drawdown of troops in Iraq/Afghanistan. It's a super liberal, awesome place. We even hosted an Occupy Movement group, and let them camp out on the church lawn for their demonstration.

The adult education programs are entirely focused on religious education, personal exploration, and discussion. Most of the "political" stuff comes out during the Sunday sermons, not during "study" time.

In my experience with other UU churchs, not all of them are as liberal or politically active as this one.

Yes my synagogue does specifically in terms of global reaching human rights issues. By that I mean writing to our government leaders to call their attention to the horrid situations in places like Dafur.